How to convert 428.13 as a fraction

Question: What is 428.13 as a fraction?


Answer: 428.13 as a fraction is 32966/77


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How to convert 428.13 as a fraction?

Solution:428.13 as a fraction is 32966/77

Step 1:

The first step to converting 428.13 to a fraction is to re-write 428.13 in the form p/q where p and q are both positive integers. To start with, 428.13 can be written as simply 428.13/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 428.13, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 428.13/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 428.13/1 each by 100:

42813/10 / 100/10 = 42813 / 100

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 428.13 as a fraction:

32966/77 / 1

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